X(1835), X(2120) and X(2370) in a flux tube model

Abstract

Nonstrange baryonium spectrum is systematically studied by using the Gaussian expansion method in a flux tube model with the six-body confinement potential. All the model parameters are fixed by baryon properties, so the baryonium calculation is parameter-free. We find that X(1835) and X(2370), which are observed in the radiative decay of $J/\psi$ by BES collaboration, can be described as $N_8{\bar{N}}_8$ and ${\Delta }_8{\bar{\Delta }}_8$ bound states with quantum numbers $I^G{J}^{PC}=0^{+}{0}^{-+}$, respectively, such bound states should be color confinement resonances with three-dimensional configurations similar to dumbbell, however, X(2120) can not be accommodated in our model.

Comments: 6 pages, 1 figure. arXiv admin note: text overlap with arXiv:1201.1768